What is the relationship between the attendance at a major league ball game and the total number of runs scored? Attendance figures (in thousands) and the runs scored for 9 randomly selected games are shown below.   Attendance 45 38 55 56 58 58 35 17 56 Runs 7 5 11 7 12 9 8 1 9  r2r2 =  (Round to two decimal places)  (Round to two decimal places)  Interpret r2r2 :   73% of all games will have the average number of runs scored. There is a 73% chance that the regression line will be a good predictor for the runs scored based on the attendance of the game. Given any fixed attendance, 73% of all of those games will have the predicted number of runs scored. There is a large variation in the runs scored in baseball games, but if you only look at games with a fixed attendance, this variation on average is reduced by 73%. The equation of the linear regression line is:    ˆy =  + x   (Please show your answers to two decimal places)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 13PPS
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What is the relationship between the attendance at a major league ball game and the total number of runs scored? Attendance figures (in thousands) and the runs scored for 9 randomly selected games are shown below.

 

Attendance 45 38 55 56 58 58 35 17 56
Runs 7 5 11 7 12 9 8 1 9
  1.  r2r2 =  (Round to two decimal places)  (Round to two decimal places)
  2.  Interpret r2r2 :  
    • 73% of all games will have the average number of runs scored.
    • There is a 73% chance that the regression line will be a good predictor for the runs scored based on the attendance of the game.
    • Given any fixed attendance, 73% of all of those games will have the predicted number of runs scored.
    • There is a large variation in the runs scored in baseball games, but if you only look at games with a fixed attendance, this variation on average is reduced by 73%.
  3. The equation of the linear regression line is:   
    ˆy =  + x   (Please show your answers to two decimal places)  
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